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- W2769876871 abstract "The chapter begins with a detailed description of tensor products of complexes of modules and the tensor product induction for a complex. It contains a theorem of Serre that asserts that torsion-free virtually free pro-(p) groups are free pro-(p), as well as an extension due to Scheiderer of this result when the group contains torsion. A second-countable pro-(p) group with a free pro-(p) subgroup of index (p) is described as a free pro-(p) product of a free pro-(p) group and a continuously indexed family of groups of the form (H_{tau}times T_{tau}), where (H_{tau}) is free pro-(p) and (T_{tau}) has order (p)." @default.
- W2769876871 created "2017-12-04" @default.
- W2769876871 creator A5038658537 @default.
- W2769876871 date "2017-01-01" @default.
- W2769876871 modified "2023-09-27" @default.
- W2769876871 title "The Virtual Cohomological Dimension of Profinite Groups" @default.
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- W2769876871 doi "https://doi.org/10.1007/978-3-319-61199-0_10" @default.
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